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Unitary and Antiunitary Operators Mapping Vectors to Parallel or to Orthogonal Ones, with Applications to Symmetry Transformations

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Abstract

Unitary and antiunitary operators which map vectors either to parallel or to orthogonal vectors are characterized. As an application the results are used to show that symmetry transformations induced by real functions are identity transformations.

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Authors and Affiliations

  1. Department of Physics, University of Turku, FIN-20014, Turku, Finland

    Pekka Lahti

  2. Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Pl Politechniki 1, PL - 00-661, Warsaw, Poland

    Maciej Maczynski

  3. Department of Mathematics, University of Turku, FIN-20014, Turku, Finland

    Kari Ylinen

Authors
  1. Pekka Lahti
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  2. Maciej Maczynski
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  3. Kari Ylinen
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Lahti, P., Maczynski, M. & Ylinen, K. Unitary and Antiunitary Operators Mapping Vectors to Parallel or to Orthogonal Ones, with Applications to Symmetry Transformations. Letters in Mathematical Physics 55, 43–51 (2001). https://doi.org/10.1023/A:1010915916674

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  • DOI: https://doi.org/10.1023/A:1010915916674

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